Design: Blocked RCT, with 2 levels, and randomization done at level 1 (individual level).
Models: Constant treatment effects, fixed treatment effects, and random treatment effects.
Default parameters:
Parameters by model type:
Assumptions:
\(\bar{n}\) = 100
\(\bar{n}\) = 75
\(\bar{n}\) = 50
\(R^2_1 =\) 0.6, 0.6, 0.6
\(R^2_2 =\) 0.6, 0.6, 0.6 (This should not affect power!)
\(R^2_1 =\) 0, 0, 0 \(R^2_2 =\) 0, 0, 0
\(\rho =\) 0.2
\(\rho =\) 0.8
ATE (ES) = 0.125, 0, 0
\(\text{ICC}_2\) = 0.8, 0.8, 0.8
##
##
## +------------+---------------+---------------+-------------+
## | MTP | Adjusted MDES | D1indiv Power | Target MDES |
## +============+===============+===============+=============+
## | rawp | 0.124 | 0.539 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Bonferroni | 0.123 | 0.366 | 0.125 |
## +------------+---------------+---------------+-------------+
## | BH | 0.124 | 0.481 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Holm | 0.125 | 0.437 | 0.125 |
## +------------+---------------+---------------+-------------+
##
## Table: blocked_i1_2c
##
##
## +------------+---------------+------------+-------------+
## | MTP | Adjusted MDES | min2 Power | Target MDES |
## +============+===============+============+=============+
## | rawp | 0.126 | 0.556 | 0.125 |
## +------------+---------------+------------+-------------+
## | Bonferroni | 0.122 | 0.356 | 0.125 |
## +------------+---------------+------------+-------------+
## | BH | 0.125 | 0.49 | 0.125 |
## +------------+---------------+------------+-------------+
## | Holm | 0.126 | 0.429 | 0.125 |
## +------------+---------------+------------+-------------+
##
## Table: blocked_i1_2c
##
##
## +------------+---------------+---------------+-------------+
## | MTP | Adjusted MDES | D1indiv Power | Target MDES |
## +============+===============+===============+=============+
## | rawp | 0.126 | 0.468 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Bonferroni | 0.125 | 0.269 | 0.125 |
## +------------+---------------+---------------+-------------+
## | BH | 0.125 | 0.375 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Holm | 0.125 | 0.325 | 0.125 |
## +------------+---------------+---------------+-------------+
##
## Table: blocked_i1_2r
##
##
## +------------+---------------+------------+-------------+
## | MTP | Adjusted MDES | min2 Power | Target MDES |
## +============+===============+============+=============+
## | rawp | 0.125 | 0.465 | 0.125 |
## +------------+---------------+------------+-------------+
## | Bonferroni | 0.119 | 0.238 | 0.125 |
## +------------+---------------+------------+-------------+
## | BH | 0.126 | 0.383 | 0.125 |
## +------------+---------------+------------+-------------+
## | Holm | 0.125 | 0.301 | 0.125 |
## +------------+---------------+------------+-------------+
##
## Table: blocked_i1_2r
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | J | 21 | 0.476 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | J | 20 | 0.435 | 20 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_i1_2c
##
##
## +------+-------------+-------------+------------+--------------------+
## | MTP | Sample type | Sample size | min2 power | Target sample size |
## +======+=============+=============+============+====================+
## | BH | J | 21 | 0.486 | 20 |
## +------+-------------+-------------+------------+--------------------+
## | Holm | J | 20 | 0.413 | 20 |
## +------+-------------+-------------+------------+--------------------+
##
## Table: blocked_i1_2c
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | J | 20 | 0.475 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | J | 21 | 0.444 | 20 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_i1_2f
##
##
## +------+-------------+-------------+------------+--------------------+
## | MTP | Sample type | Sample size | min2 power | Target sample size |
## +======+=============+=============+============+====================+
## | BH | J | 20 | 0.48 | 20 |
## +------+-------------+-------------+------------+--------------------+
## | Holm | J | 21 | 0.421 | 20 |
## +------+-------------+-------------+------------+--------------------+
##
## Table: blocked_i1_2f
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | J | 20 | 0.37 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | J | 21 | 0.332 | 20 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_i1_2r
##
##
## +------+-------------+-------------+------------+--------------------+
## | MTP | Sample type | Sample size | min2 power | Target sample size |
## +======+=============+=============+============+====================+
## | BH | J | 21 | 0.389 | 20 |
## +------+-------------+-------------+------------+--------------------+
## | Holm | J | 20 | 0.29 | 20 |
## +------+-------------+-------------+------------+--------------------+
##
## Table: blocked_i1_2r